45=12+7+5+12+Z+(Z+5)

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Solution for 45=12+7+5+12+Z+(Z+5) equation: 


Simplifying
45 = 12 + 7 + 5 + 12 + Z + (Z + 5)

Reorder the terms:
45 = 12 + 7 + 5 + 12 + Z + (5 + Z)

Remove parenthesis around (5 + Z)
45 = 12 + 7 + 5 + 12 + Z + 5 + Z

Reorder the terms:
45 = 12 + 7 + 5 + 12 + 5 + Z + Z

Combine like terms: 12 + 7 = 19
45 = 19 + 5 + 12 + 5 + Z + Z

Combine like terms: 19 + 5 = 24
45 = 24 + 12 + 5 + Z + Z

Combine like terms: 24 + 12 = 36
45 = 36 + 5 + Z + Z

Combine like terms: 36 + 5 = 41
45 = 41 + Z + Z

Combine like terms: Z + Z = 2Z
45 = 41 + 2Z

Solving
45 = 41 + 2Z

Solving for variable 'Z'.

Move all terms containing Z to the left, all other terms to the right.

Add '-2Z' to each side of the equation.
45 + -2Z = 41 + 2Z + -2Z

Combine like terms: 2Z + -2Z = 0
45 + -2Z = 41 + 0
45 + -2Z = 41

Add '-45' to each side of the equation.
45 + -45 + -2Z = 41 + -45

Combine like terms: 45 + -45 = 0
0 + -2Z = 41 + -45
-2Z = 41 + -45

Combine like terms: 41 + -45 = -4
-2Z = -4

Divide each side by '-2'.
Z = 2

Simplifying
Z = 2

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